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Finding the Third Proportional to 1,109,162 and 2,270,893

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Solution

The third proportional to 1,109,162 and 2,270,893 is: 4,649,415.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109,162 : 2,270,893 = 2,270,893 : x
  2. Step 2: Convert to fraction form
    1,109,162/2,270,893 = 2,270,893/x
  3. Step 3: Cross multiply
    1,109,162x = 2,270,893 × 2,270,893
  4. Step 4: Simplify right side
    1,109,162x = 5,156,955,017,449
  5. Step 5: Solve for x
    x = 5,156,955,017,449/1,109,162
  6. Step 6: Final answer
    x = 4,649,415.52

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.